Question 25 (i)
Is the following argument correct? Give reasons for your answer.
If two coins are tossed simultaneously there are three possible outcomes – two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is $\frac{1}{3}$ .

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Solution

Incorrect: We can classify the outcomes like this but they are not then, ‘equally likely’. Reason is that ‘one of each’ can result in two ways – from a head on first coin and tail on the second coin or from a tail on the first coin and head on the second coin. This makes it twice as likely as two heads (or two tails).

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Similar questions

Which of the following arguments are correct and which are not correct? Give reasons for your answer.

(i) If two coins are tossed simultaneously there are three possible outcomes−−two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is.

(ii) If a die is thrown, there are two possible outcomes−−an odd number or an even number. Therefore, the probability of getting an odd number is.

Q. Question 08.
When we toss a coin, there are two possible outcomes - head or tail. Therefore, the probability of each outcome is

\frac{1}{2} .

Justify your answer.

Q. Examine the following statements and comment:
If two coins are tossed at the same time, there are

3

possible outcomes- two heads, two tails, or one of each. Therefore, for each outcome, the probability of occurrence is

1 / 3

Q. Question 25 (ii)
Is the following argument correct? Give reasons for your answer.
If a die is thrown, there are two possible outcomes – an odd number or an even number. Therefore, the probability of getting an odd number is

\frac{1}{2}

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Event and Outcome

Standard X Mathematics

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Question 25 (i) Is the following argument correct? Give reasons for your answer. If two coins are tossed simultaneously there are three possible outcomes – two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 13.

Question 25 (i)
Is the following argument correct? Give reasons for your answer.
If two coins are tossed simultaneously there are three possible outcomes – two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is $\frac{1}{3}$ .